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Question

The curved surface area of a cylinder is $$2200$$ sq. cm and circumference of its base is $$220$$ cm. Then the height of the cylinder is :


A
22
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B
10
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C
25
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D
2.2
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Solution

The correct option is C $$10$$
Let the radius of the base be $$'r'$$ cm & height be $$'h'$$ cm.
Now, curved surface area of cylinder $$=2\pi rh$$
Also, circumference of base, $$C=2\pi r=220cm$$
$$\therefore $$  Curved surface area of cylinder $$=220\times h$$
$$\Rightarrow 2200=220\times h$$
$$\Rightarrow  h=\dfrac { 2200 }{ 220 } =10cm$$

Mathematics

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